Research Interests

My work is focused on the analysis of geometric hyperbolic partial
differential equations. More specifically, I am interested in the
Cauchy problem for the Einstein equations, in relation with the
following topics

Originally motivated by the study of the Einstein-Vlasov system, I have recently started working more on transport equations, including the study of linear kinetic transport operators and the Vlasov-Poisson or the Vlasov-Norström systems.

Preprint

In collaboration with David Fajman and Jérémie Joudioux, The stability of the Minkowski space for the Einstein-Vlasov system 139 pages, July 2017, preprint available at arXiv:1707.06141.

In collaboration with David Fajman and Jérémie Joudioux, Sharp asymptotics for small data solutions of the Vlasov-Nordström system in three dimensions 74 pages, April 2017, preprint available at arXiv:1704.05353.

In collaboration with Gustav Holzegel, Jonathan Luk and Claude Warnick, Asymptotic properties of linear field equations in anti-de Sitter space, 56 pages, February 2015, preprint available at arXiv:1502.04965.

Publications

In collaboration with David Fajman and Jérémie Joudioux, A vector field method for relativistic transport equations with applications, accepted for publications in APDE, preprint available at arXiv:1510.04939.